Bounds on slow roll and the de Sitter Swampland

Abstract The recently introduced swampland criterion for de Sitter [17] can be viewed as a (hierarchically large) bound on the smallness of the slow roll parameter 𝜖 V . This leads us to consider the other slow roll parameter η V more closely, and we are lead to conjecture that the bound is not nece...

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Main Authors: Sumit K. Garg, Chethan Krishnan
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP11(2019)075
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author Sumit K. Garg
Chethan Krishnan
author_facet Sumit K. Garg
Chethan Krishnan
author_sort Sumit K. Garg
collection DOAJ
description Abstract The recently introduced swampland criterion for de Sitter [17] can be viewed as a (hierarchically large) bound on the smallness of the slow roll parameter 𝜖 V . This leads us to consider the other slow roll parameter η V more closely, and we are lead to conjecture that the bound is not necessarily on 𝜖 V , but on slow roll itself. A natural refinement of the de Sitter swampland conjecture is therefore that slow roll is violated at O $$ \mathcal{O} $$ (1) in Planck units in any UV complete theory. A corollary is that 𝜖 V need not necesarily be O $$ \mathcal{O} $$ (1), if η V ≲ − O 1 $$ {\eta}_V\lesssim -\mathcal{O}(1) $$ holds. We consider various tachyonic tree level constructions of de Sitter in IIA/IIB string theory (as well as closely related models of inflation), which superficially violate [17], and show that they are consistent with this refined version of the bound. The phrasing in terms of slow roll makes it plausible why both versions of the conjecture run into trouble when the number of e-folds during inflation is high. We speculate that one way to evade the bound could be to have a large number of fields, like in N -flation.
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spelling doaj.art-69d2c7a90f874d9fb2f0f475cc8daada2022-12-21T22:53:24ZengSpringerOpenJournal of High Energy Physics1029-84792019-11-0120191111710.1007/JHEP11(2019)075Bounds on slow roll and the de Sitter SwamplandSumit K. Garg0Chethan Krishnan1Department of Physics, CMR UniversityCenter for High Energy Physics, Indian Institute of ScienceAbstract The recently introduced swampland criterion for de Sitter [17] can be viewed as a (hierarchically large) bound on the smallness of the slow roll parameter 𝜖 V . This leads us to consider the other slow roll parameter η V more closely, and we are lead to conjecture that the bound is not necessarily on 𝜖 V , but on slow roll itself. A natural refinement of the de Sitter swampland conjecture is therefore that slow roll is violated at O $$ \mathcal{O} $$ (1) in Planck units in any UV complete theory. A corollary is that 𝜖 V need not necesarily be O $$ \mathcal{O} $$ (1), if η V ≲ − O 1 $$ {\eta}_V\lesssim -\mathcal{O}(1) $$ holds. We consider various tachyonic tree level constructions of de Sitter in IIA/IIB string theory (as well as closely related models of inflation), which superficially violate [17], and show that they are consistent with this refined version of the bound. The phrasing in terms of slow roll makes it plausible why both versions of the conjecture run into trouble when the number of e-folds during inflation is high. We speculate that one way to evade the bound could be to have a large number of fields, like in N -flation.http://link.springer.com/article/10.1007/JHEP11(2019)075Cosmology of Theories beyond the SMSuperstring VacuaFlux compactifications
spellingShingle Sumit K. Garg
Chethan Krishnan
Bounds on slow roll and the de Sitter Swampland
Journal of High Energy Physics
Cosmology of Theories beyond the SM
Superstring Vacua
Flux compactifications
title Bounds on slow roll and the de Sitter Swampland
title_full Bounds on slow roll and the de Sitter Swampland
title_fullStr Bounds on slow roll and the de Sitter Swampland
title_full_unstemmed Bounds on slow roll and the de Sitter Swampland
title_short Bounds on slow roll and the de Sitter Swampland
title_sort bounds on slow roll and the de sitter swampland
topic Cosmology of Theories beyond the SM
Superstring Vacua
Flux compactifications
url http://link.springer.com/article/10.1007/JHEP11(2019)075
work_keys_str_mv AT sumitkgarg boundsonslowrollandthedesitterswampland
AT chethankrishnan boundsonslowrollandthedesitterswampland